Sentences with MATHEMATICAL-GROUP
Check out our example sentences below to help you understand the context.Sentences
1
"The set of integers under addition is a mathematical group."
2
"The group of invertible matrices under matrix multiplication is a mathematical group."
3
"The set of rational numbers under multiplication is a mathematical group."
4
"The group of permutations of a set is a mathematical group."
5
"The set of real numbers under addition is a mathematical group."
6
"The group of rotations in three dimensions is a mathematical group."
7
"The set of complex numbers under multiplication is a mathematical group."
8
"The group of symmetries of a regular polygon is a mathematical group."
9
"The set of positive integers under addition is not a mathematical group."
10
"The group of 2x2 matrices with positive determinant under matrix multiplication is a mathematical group."
11
"The set of non-zero rational numbers under multiplication is a mathematical group."
12
"The group of translations in two dimensions is a mathematical group."
13
"The set of non-zero real numbers under multiplication is a mathematical group."
14
"The group of reflections in a plane is a mathematical group."
15
"The set of whole numbers under addition is not a mathematical group."
16
"The group of isometries of a square is a mathematical group."
17
"The set of complex numbers with absolute value 1 under multiplication is a mathematical group."
18
"The group of rotations and reflections of a regular hexagon is a mathematical group."
19
"The set of rational numbers with absolute value greater than 1 under multiplication is not a mathematical group."
20
"The group of rigid motions of a cube is a mathematical group."
1
"In abstract algebra, a mathematical group is a set with a binary operation that satisfies certain axioms."
2
"The symmetry group of the square is an example of a mathematical group."
3
"The concept of a mathematical group generalizes many familiar structures such as integers under addition."
4
"A mathematical group must have an identity element, which leaves other elements unchanged under the defined operation."
5
"The order of a mathematical group is the number of elements it contains."
6
"A mathematical group can be finite or infinite, depending on the number of elements in the set."
7
"The integers under addition form an abelian mathematical group."
8
"The set of invertible matrices forms a mathematical group under matrix multiplication."
9
"The mathematical group theory plays a fundamental role in various branches of mathematics and physics."
10
"The concept of a mathematical group was introduced by the mathematician Évariste Galois in the 19th century."
